Title :
Uniform asymptotic of solution of the cubic nonlinear Schrodinger equation in the focal area of the narrow 2-dimensional focused light beam
Author :
Proekt, L.B. ; Tropp, E.A.
Author_Institution :
A.F. Ioffe Physicotech. Inst., Acad. of Sci., St. Petersburg, Russia
Abstract :
The paper is devoted to the study of the diffraction of a two-dimensional narrow focused light beam propagating through the matter whose dielectrical permeability depends on the intensity of a transversal component of the electrical field. It is well known that this process may be described with satisfactory precision by nonlinear Schrodinger equation (NS) with cubic nonlinear part
Keywords :
Schrodinger equation; light diffraction; light propagation; nonlinear differential equations; optical focusing; permeability; cubic nonlinear Schrodinger equation; cubic nonlinear part; dielectrical permeability; diffraction; electrical field transversal component; focal area; focused light beam; intensity; light beam propagation; narrow 2-dimensional focused light beam; nonlinear Schrodinger equation; Dielectrics; Diffraction; Geometrical optics; Integral equations; Inverse problems; Nonlinear equations; Optical propagation; Optical scattering; Permeability; Schrodinger equation;
Conference_Titel :
Control of Oscillations and Chaos, 1997. Proceedings., 1997 1st International Conference
Conference_Location :
St. Petersburg
Print_ISBN :
0-7803-4247-X
DOI :
10.1109/COC.1997.631358
